Acta Optica Sinica, Volume. 38, Issue 10, 1029001(2018)

Measurement and Modeling of Bidirectional Reflectance Distribution Function on Cutting Surface

Weichao Shi**, Jianming Zheng*, Yan Li, Xubo Li, and Qiannan An
Author Affiliations
  • School of Mechanical and Precision Instrument Engineering, Xi'an University of Technology, Xi'an, Shaanxi 710048, China
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    Figures & Tables(9)
    Geometric relationship of light reflection
    Microfacet reflection and imaging principle under coaxial light
    Measurement scheme of BRDF on cutting surface
    Measurement equipment of BRDF. (a) Physical map; (b) turning samples; (c) plain milling samples
    Measuring data of surface morphology (color) and images (grayscale) of samples. (a)(d) Ra=3.2 μm, turning surface; (b)(e) Ra=1.6 μm, turning surface; (c)(f) Ra=0.8 μm, turning surface; (g)(j) Ra=3.2 μm, plain milling surface; (h)(k) Ra=1.6 μm, plain milling surface; (i)(l) Ra=0.8 μm, plain milling surface
    Relationship between BRDF value and normal declination angle θ under coaxial light for surfaces with different roughnesses. (a) Ra=3.2 μm, turning surface; (b) Ra=1.6 μm, turning surface; (c) Ra=0.8 μm, turning surface; (d) Ra=3.2 μm, plain milling surface; (e) Ra=1.6 μm, plain milling surface; (f) Ra=0.8 μm, plain milling surface
    Comparison between measurement data and model calculation data of BRDF on cutting surface. (a) Ra=3.2 μm, turning surface; (b) Ra=1.6 μm, turning surface; (c) Ra=0.8 μm, turning surface; (d) Ra=3.2 μm, plain milling surface; (e) Ra=1.6 μm, plain milling surface; (f) Ra=0.8 μm, plain milling surface
    • Table 1. BRDF model parameters on cutting surface

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      Table 1. BRDF model parameters on cutting surface

      Cutting methodSurface roughness Ra /μmkdksab
      3.20.660
      Turning1.60.062.952.940.601
      0.80.531
      3.20.782
      Plain milling1.60.062.955.230.719
      0.80.662
    • Table 2. Fitting error results

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      Table 2. Fitting error results

      CuttingmethodSurface roughnessRa /μmRelative RMSerror σr /%
      Turning3.29.97
      1.69.81
      0.86.09
      Plain milling3.29.88
      1.69.78
      0.89.41
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    Weichao Shi, Jianming Zheng, Yan Li, Xubo Li, Qiannan An. Measurement and Modeling of Bidirectional Reflectance Distribution Function on Cutting Surface[J]. Acta Optica Sinica, 2018, 38(10): 1029001

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    Paper Information

    Category: Scattering

    Received: Mar. 15, 2018

    Accepted: May. 8, 2018

    Published Online: May. 9, 2019

    The Author Email:

    DOI:10.3788/AOS201838.1029001

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